Question 311038
greg is supposed to add cranberry juice to apple juice to make 20 gallons of cranapple juice.  A gallon of apple juice sells for $3.25 a gallon and a gallon of cranberry juice sells for $4.15.  A gallon of cranapple juice sells for $3.43.  How many gallons of each juice should he use in the mixture
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Let x = gallons of apple juice
then
20-x = gallons of cranberry juice
.
3.25x + 4.15(20-x) = 3.43(20)
3.25x + 83 - 4.15x = 68.6
83 - .9x = 68.6
-.9x = -14.4
x = 16 gallons (apple juice)
.
cranberry juice:
20-x = 20-16 = 4 gallons